Question 825689
The slope is {{{2/7}}}.  The numerator, 2, of the slope is the "rise",
and the denominator of the slope, 7, is the "run".  So we begin on
the y-axis at the y-intercept which has coordinates (0,6).

{{{drawing(400,400,-4,10,-3,11,graph(400,400,-4,10,-3,11),
circle(0,6,0.15),circle(0,6,0.13),circle(0,6,0.11),circle(0,6,0.09),
circle(0,6,0.07),circle(0,6,0.05),circle(0,6,0.03),circle(0,6,0.01),
locate(.1,6,"(0,6)")
 )}}}

From that point, we draw the rise of 2, which means we draw the
green vertical line 2 units upward from that y-intercept:

{{{drawing(400,400,-4,10,-3,11,graph(400,400,-4,10,-3,11),
circle(0,6,0.15),circle(0,6,0.13),circle(0,6,0.11),circle(0,6,0.09),
circle(0,6,0.07),circle(0,6,0.05),circle(0,6,0.03),circle(0,6,0.01),
locate(.1,6,"(0,6)"),green(line(0,6,0,8))
 )}}}

That's the "rise" of 2.  Now from the end of that rise, we draw the 
"run" of 7, which is this green horizontal line going to the right
from the end-point of the "rise".  Put a dot at the end of the "run":

{{{drawing(400,400,-4,10,-3,11,graph(400,400,-4,10,-3,11),
circle(0,6,0.15),circle(0,6,0.13),circle(0,6,0.11),circle(0,6,0.09),
circle(0,6,0.07),circle(0,6,0.05),circle(0,6,0.03),circle(0,6,0.01),
locate(.1,6,"(0,6)"),green(line(0,6,0,8),line(0,8,7,8)),
circle(7,8,0.15),circle(7,8,0.13),circle(7,8,0.11),circle(7,8,0.09),circle(7,8,0.07),circle(7,8,0.05),circle(7,8,0.03),circle(7,8,0.01)


 )}}}

We connect the two dots and that's the graph of the line.

{{{drawing(400,400,-4,10,-3,11,graph(400,400,-4,10,-3,11),
circle(0,6,0.15),circle(0,6,0.13),circle(0,6,0.11),circle(0,6,0.09),
circle(0,6,0.07),circle(0,6,0.05),circle(0,6,0.03),circle(0,6,0.01),
locate(.1,6,"(0,6)"),green(line(0,6,0,8),line(0,8,7,8)),
circle(7,8,0.15),circle(7,8,0.13),circle(7,8,0.11),circle(7,8,0.09),circle(7,8,0.07),circle(7,8,0.05),circle(7,8,0.03),circle(7,8,0.01),
line(14,10,-14,2) )}}}

You will soon learn if you haven't already, that the algebraic equation 
of that line is 

{{{y}}}{{{""=""}}}{{{expr(2/7)x}}}{{{""+""}}}{{{6}}}

The coefficient of x is the slope and the number added
to it is the y-coordinate of the y-intercept (0,6).

Edwin</pre>